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Finding the Fourth Proportional to 2,709.99, 4,062.06 and 1,538.46

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Solution

The fourth proportional to 2,709.99, 4,062.06 and 1,538.46 is: 2,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.99 : 4,062.06 = 1,538.46 : x
  2. Step 2: Convert to fraction form
    2,709.99/4,062.06 = 1,538.46/x
  3. Step 3: Cross multiply
    2,709.99x = 4,062.06 × 1,538.46
  4. Step 4: Simplify right side
    2,709.99x = 6,249,316.83
  5. Step 5: Solve for x
    x = 6,249,316.83/2,709.99
  6. Step 6: Final answer
    x = 2,306.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.